Troi and Riker offered comic relief in a lot of instances. And I think if all we had of TNG was this movie, there's enough there to care about the characters.

Into Darkness, by contrast, if that was all you'd ever seen or heard of Kirk, Spock and company, can you say you'd truly care about them? And why if that's the case?

Nope FC didn't make me suddenly care about Riker and Troi just from seeing them here. In fact none of the Trek movies made me 'care' about any of the secondary characters excepting maybe nuScott in STID.
The only people I cared about in the Trek movies are Kirk, Spock, Picard and Data (when he wasn't being crazy). And I didn't really 'like' Picard in FC. I 'cared' more about his character in GEN and NEM.